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Finding the Third Proportional to 96.19 and 199.97

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Solution

The third proportional to 96.19 and 199.97 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 199.97 = 199.97 : x
  2. Step 2: Convert to fraction form
    96.19/199.97 = 199.97/x
  3. Step 3: Cross multiply
    96.19x = 199.97 × 199.97
  4. Step 4: Simplify right side
    96.19x = 39,987.50
  5. Step 5: Solve for x
    x = 39,987.50/96.19
  6. Step 6: Final answer
    x = 415.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.